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Finding the Fourth Proportional to 11,181.78, 16,772.70 and 4,608.48

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Solution

The fourth proportional to 11,181.78, 16,772.70 and 4,608.48 is: 6,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.78 : 16,772.70 = 4,608.48 : x
  2. Step 2: Convert to fraction form
    11,181.78/16,772.70 = 4,608.48/x
  3. Step 3: Cross multiply
    11,181.78x = 16,772.70 × 4,608.48
  4. Step 4: Simplify right side
    11,181.78x = 77,296,652.50
  5. Step 5: Solve for x
    x = 77,296,652.50/11,181.78
  6. Step 6: Final answer
    x = 6,912.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.